An Introduction to the Pythagorean Theorem | Math with Mr. J

To which type of triangle does the Pythagorean Theorem apply?

• Equilateral triangles

• Isosceles triangles

• Right triangles

• Scalene triangles

What is the name of the longest side of a right triangle, which is always opposite the right angle?

• Leg

• Hypotenuse

• Base

• Altitude

What is the correct formula for the Pythagorean Theorem, where 'a' and 'b' are the lengths of the legs and 'c' is the length of the hypotenuse?

• a + b = c

• a² + b² = c²

• a² - b² = c²

• a + b = c²

A right triangle has legs measuring 4 feet and 3 feet. What is the length of its hypotenuse?

• 5 feet

• 7 feet

• 12 feet

• 25 feet

What is the relationship between the areas of the squares built on the legs and the square built on the hypotenuse of a right triangle?

• The area of the hypotenuse square is equal to the sum of the areas of the leg squares.

• The area of the hypotenuse square is equal to the difference of the areas of the leg squares.

• The area of the hypotenuse square is equal to the product of the areas of the leg squares.

• The area of the hypotenuse square is equal to twice the sum of the areas of the leg squares.

A right triangle has legs that measure 4 feet and 3 feet. What is the length of its hypotenuse?

• 7 feet

• 12 feet

• 5 feet

• 25 feet

Which equation correctly represents the Pythagorean Theorem for a right triangle with legs 'a' and 'b', and hypotenuse 'c'?

• a + b = c

• a² - b² = c²

• a² + b² = c²

• a + b = c²

A right triangle has one leg measuring 15 cm and a hypotenuse measuring 17 cm. What is the length of the other leg?

• 2 cm

• 8 cm

• 16 cm

• 32 cm